 
Summary:
GENERATORS OF NONCOMMUTATIVE DYNAMICS
WILLIAM ARVESON
Abstract. For a fixed C*algebra A, we consider all noncommutative
dynamical systems that can be generated by A. More precisely, an A
dynamical system is a triple (i, B, ff) where ff is a *endomorphism of a
C*algebra B, and i : A B is the inclusion of A as a C*subalgebra
with the property that B is generated by A [ ff(A) [ ff2(A) [ . ...There
is a natural hierarchy in the class of Adynamical systems, and there
is a universal one that dominates all others, denoted (i, PA, ff). We
establish certain properties of (i, PA, ff) and give applications to some
